Finding the Third Proportional to 49,664 and 63,766

Step by Step Solution

1. Step 1: Write the proportion equation
   49,664 : 63,766 = 63,766 : x
2. Step 2: Convert to fraction form
   49,664/63,766 = 63,766/x
3. Step 3: Cross multiply
   49,664x = 63,766 × 63,766
4. Step 4: Simplify right side
   49,664x = 4,066,102,756
5. Step 5: Solve for x
   x = 4,066,102,756/49,664
6. Step 6: Final answer
   x = 81,872.24